4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite and

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: Find the limits

A:

Q: lim (In (x))* X-e

A: Consider the given limit, L=limx→e+lnx1x-e Apply the exponent rule, x=elnx.…

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

A:

Q: -4 Determine the limit: lim -i (и — 1)2

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Q: lim (x,y)-(-3,4) (x³ +3x²y² - 5y³ +1)

A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: 4 Find the limit: lim sin(x) (Enter undefined if the limit does not exist.)

A: The given limit limx→04x-4sin(x)

Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Q: Use the formal definition of limit ( ε-δ-definition) to show that lim x -> -1 for ( (x4+x+1) / x3 )…

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Q: In x Apply L'Hop rule. lim

A: We have to find the limit by using Lhospital rule.